Local section of Serre fibrations with 3-manifold fibers

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dc.creatorBrodsky, N.
dc.creatorChigogidze, A.
dc.creatorShchepin, E. V.
dc.date2009-02-19
dc.date.accessioned2026-07-07T12:44:11Z
dc.date.available2026-07-07T12:44:11Z
dc.descriptionIt was proved by H. Whitney in 1933 that a Serre fibration of compact metric spaces admits a global section provided every fiber is homeomorphic to the unit interval [0,1]. An extension of the Whitney's theorem to the case when all fibers are homeomorphic to some fixed compact two-dimensional manifold was proved by the authors \cite{BCS}. The main result of this paper proves the existence of local sections in a Serre fibration with all fibers homeomorphic to some fixed compact three-dimensional manifold.
dc.descriptionSubmitted to Topolofy and its Applications
dc.identifierhttps://arxiv.org/abs/0902.3387
dc.identifierhttp://arxiv.org/abs/0902.3387
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220684
dc.subjectGeometric Topology
dc.subjectGeneral Topology
dc.subject57N05, 57N10, 54C65
dc.titleLocal section of Serre fibrations with 3-manifold fibers
dc.typetext

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